A figure displays two nonadjacent angles with measures 3x° and ( 4x + 1 )°. If the angles are complementary, what is the simplified equation corresponding to the measures of the angels?

Answer 1

The sum of two complementary angles is always 90°. So, the equation corresponding to the measures of the angles is:

3x + (4x + 1) = 90

Simplifying the equation:

3x + 4x + 1 = 90
7x + 1 = 90
7x = 90 - 1
7x = 89
x = 89/7

So, the simplified equation corresponding to the measures of the angles is:

3(89/7) + (4(89/7) + 1) = 90